1.

Write expression for moment of inertia of 1. thin rod 2. ring 3. cylinder 4. sphere.

Answer»

1. Moment of inertia of a thin rod of length L and mass M about an axis passing through its centre and perpendicular to its length is, I = \(\frac {ML^2}{2}\)

2. Moment of inertia of a circular ring of radius R and mass M about an axis passing through the diameter is,l = \(\frac {ML^2}{2}\)

Moment of inertia of a circular ring of radius R and mass M about an axis passing through the centre and perpendicular to its plane is, I = MR2.

3. Moment of inertia of a cylinder of radius R and length L and mass M about an axis passing through the axis is I =\(\frac {ML^2}{2}\)

4. Moment of inertia of a solid sphere of radius R and mass M passing through the diameter is I = \(\frac {2}{5}\)MR2.



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